The length of time it takes to find a parking space at 11a.m. follows a normal distribution with a mean of 6 minutes and a standard deviation of 2 minutes. Based upon the empirical rule, which is the probability that it takes less than 4 minutes to find a parking space? Based upon the empirical rule, which is the probability that it takes more than 10 minutes to find a parking space? Find the probability that it takes less than5 minutes to find a parking space.
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
The length of time it takes to find a parking space at 11a.m. follows a
- Based upon the
empirical rule , which is the probability that it takes less than 4 minutes to find a parking space? - Based upon the empirical rule, which is the probability that it takes more than 10 minutes to find a parking space?
- Find the probability that it takes less than5 minutes to find a parking space.
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